What is the displacement water line for an oil barge?
It totally depends on the barge. Your question is like asking, where is the water line on a boat. Every boat is different and depending on conditions every boat can be different from itself on different days. If you know the manufacturer of the barge in question or the name of the company that operates it, you can do a web search on that and it may list your barge or one close to it. They usually list all the stats of their vessels.